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28435809204 = 223211257279407
BaseRepresentation
bin11010011110111010…
…000000001110110100
32201101201222202222200
4122132322000032310
5431214031343304
621021354024500
72024444250555
oct323672001664
981351882880
1028435809204
1111072300370
125617118130
1328b22b950a
14153a7d632c
15b1664ee39
hex69ee803b4

28435809204 has 72 divisors (see below), whose sum is σ = 78719292288. Its totient is φ = 8583352320.

The previous prime is 28435809191. The next prime is 28435809211. The reversal of 28435809204 is 40290853482.

28435809204 is a `hidden beast` number, since 2 + 8 + 43 + 580 + 9 + 20 + 4 = 666.

It is a super-2 number, since 2×284358092042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28435809204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37932 + ... + 241475.

It is an arithmetic number, because the mean of its divisors is an integer number (1093323504).

Almost surely, 228435809204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28435809204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39359646144).

28435809204 is an abundant number, since it is smaller than the sum of its proper divisors (50283483084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28435809204 is a wasteful number, since it uses less digits than its factorization.

28435809204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279685 (or 279680 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28435809204 in words is "twenty-eight billion, four hundred thirty-five million, eight hundred nine thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 257 396 514 771 1028 1542 2313 2827 3084 4626 5654 8481 9252 11308 16962 25443 33924 50886 101772 279407 558814 838221 1117628 1676442 2514663 3073477 3352884 5029326 6146954 9220431 10058652 12293908 18440862 27661293 36881724 55322586 71807599 110645172 143615198 215422797 287230396 430845594 646268391 789883589 861691188 1292536782 1579767178 2369650767 2585073564 3159534356 4739301534 7108952301 9478603068 14217904602 28435809204